Question

Use the Law of Sines to find the indicated side x."(Assume c = 23.2. Round your answer to one decimal place.)

Answer 1

x = 21.6

Step-by-step explanation

We have that:

c = 23.2

To be able to solve this, we must first find angle

The sum of angles in a triangle is 180 degrees.

This means that:

=> 52 + 70 + 122+ =>

Sine Law says that the ratio of angle and side opposite the angle for any triangle equal.

This means that:

`(\sin A)/(a)\text{ = }(\sin B)/(b)=\text{ }(\sin C)/(c)`

So, we can say that:

`\begin{gathered} (\sin52)/(x)=\text{ }(\sin58)/(23.2) \\ \text{Cross}-\text{multiply:} \\ 23.2\cdot\text{ sin52 = x }\cdot\text{sin58} \\ \Rightarrow\text{ x = }\frac{23.2\cdot\text{ sin52}}{\sin58} \\ x\text{ = }21.6 \end{gathered}`

That is the value of x.